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Finding the Fourth Proportional to 563.79, 844.32 and 398.86

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Solution

The fourth proportional to 563.79, 844.32 and 398.86 is: 597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.79 : 844.32 = 398.86 : x
  2. Step 2: Convert to fraction form
    563.79/844.32 = 398.86/x
  3. Step 3: Cross multiply
    563.79x = 844.32 × 398.86
  4. Step 4: Simplify right side
    563.79x = 336,764.86
  5. Step 5: Solve for x
    x = 336,764.86/563.79
  6. Step 6: Final answer
    x = 597.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.